Crack the Operation Order

Two calculations can use exactly the same numbers and still give different answers. The secret is not speed. It is knowing which operation gets its turn FIRST. Watch the expression rearrange itself into a clear route.

When you see a mixed expression, do not simply work from left to right. Operations have an agreed order. Brackets come first. Then orders, such as squared numbers. Next, multiplication and division. Finally, addition and subtraction. The letters BODMAS can help you remember that route. Here is an important detail. Multiplication and division share one level, so if both remain, move from left to right. Addition and subtraction share another level, and you again move from left to right. A higher place on the list does not mean a larger answer. It only tells you what to calculate next. Each completed operation becomes one neat number. The untouched parts stay in their original order. This stops signs from wandering and makes every step easy to check. Never jump past an operation just because it appears earlier on the page.

Let's work through an example. A question asks: evaluate forty-eight minus six multiplied by five, plus eighteen divided by three. What is the value of the complete expression? First, scan for multiplication and division. Two operations light up: six multiplied by five, and eighteen divided by three. Calculate those before touching the subtraction or addition. Six multiplied by five is thirty. Eighteen divided by three is six. The expression now reads: forty-eight minus thirty, plus six. Notice that every remaining operation is on the same level. Now move from left to right. Forty-eight minus thirty is eighteen. Then eighteen plus six is twenty-four. So the value of the complete expression is twenty-four. If you had calculated everything from left to right at the start, you would have changed the question and missed the correct answer.

Remember: brackets first, then multiplication and division, then addition and subtraction, moving left to right within a shared level. Mark the next operation, replace it neatly, and tackle any mixed expression with confidence!